On Product Minimal Lagrangian Submanifolds in Complex Space Forms

被引:0
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作者
Xiuxiu Cheng
Zejun Hu
Marilena Moruz
Luc Vrancken
机构
[1] Zhengzhou University,School of Mathematics and Statistics
[2] Henan Key Laboratory of Financial Engineering,Department of Mathematics
[3] KU Leuven,undefined
[4] Univ. Valenciennes,undefined
[5] EA4015-LAMAV,undefined
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关键词
Complex space form; Product submanifold; Minimal Lagrangian submanifold; Calabi product immersion; 53B25; 53C42; 53D12;
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摘要
In this paper we consider minimal Lagrangian submanifolds in n-dimensional complex space forms. More precisely, we study such submanifolds which, endowed with the induced metrics, write as a Riemannian product of two Riemannian manifolds, each having constant sectional curvature. As the main result, we give a complete classification of these submanifolds.
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页码:1934 / 1964
页数:30
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